Pith Number

pith:TCICFF7O

pith:2010:TCICFF7OKTO2GBFZCYSGYF4PVR

not attested not anchored not stored refs pending

On Embedding problem of linear fractional maps on the unit ball of $\mathbb{C}^{N}$

Ren-Yu Chen, Ze-Hua Zhou

arxiv:1008.2673 v3 · 2010-08-16 · math.FA · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCICFF7OKTO2GBFZCYSGYF4PVR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:43:59.560474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98902297ee54dda304b916246c178fac4cef4894a926121a6b84ae9f9df26b98

Aliases

arxiv: 1008.2673 · arxiv_version: 1008.2673v3 · doi: 10.48550/arxiv.1008.2673 · pith_short_12: TCICFF7OKTO2 · pith_short_16: TCICFF7OKTO2GBFZ · pith_short_8: TCICFF7O

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TCICFF7OKTO2GBFZCYSGYF4PVR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98902297ee54dda304b916246c178fac4cef4894a926121a6b84ae9f9df26b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c480a2e21ba5ccc6dd1fc22a6ba3fbb8d8ba6bd4e81eea2b75160cfcf34e5841",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-16T14:42:31Z",
    "title_canon_sha256": "1c853d85b9bbe0281ed10643e51cbb4defafc4c91753aa1298245bc2dfb01e2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2673",
    "kind": "arxiv",
    "version": 3
  }
}